You should report the Phi coefficient for 2x2 analyses, and Cramer's V for your 2x3 (or any other tabulation that has rows or columns greater than 2x2).
What is important in the chi square test is the expected frequency in each cell. The generated frequency square in each cell of the square table must be greater than 5. Because the distribution of frequencies is discrete. But the square distribution is a continuous distribution. If there are small frequency cells from 5, they should be no more than 20% of the total number of cells. You can find the warning about it below the SPSS output chi-square table.
Three different measures of effect size for chi-squared test and Fisher’s exact test predominantly used are Phi, Cramer’s V, and Odds Ratio. Phi and Odds Ratio are only suitable for a 2x2 contingency table and Cramer’s V is suitable for larger contingency tables.